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Finding the Fourth Proportional to 543,784.86, 750,436.74 and 302,055.84

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Solution

The fourth proportional to 543,784.86, 750,436.74 and 302,055.84 is: 416,844.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,784.86 : 750,436.74 = 302,055.84 : x
  2. Step 2: Convert to fraction form
    543,784.86/750,436.74 = 302,055.84/x
  3. Step 3: Cross multiply
    543,784.86x = 750,436.74 × 302,055.84
  4. Step 4: Simplify right side
    543,784.86x = 226,673,799,867.56
  5. Step 5: Solve for x
    x = 226,673,799,867.56/543,784.86
  6. Step 6: Final answer
    x = 416,844.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.